GCD of 19, 689, 112, 869 Calculator

Given Input numbers are 19, 689, 112, 869

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 19

List of positive integer divisors of 19 that divides 19 without a remainder.

1, 19

Divisors of 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

Divisors of 112

List of positive integer divisors of 112 that divides 112 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 869

List of positive integer divisors of 869 that divides 869 without a remainder.

1, 11, 79, 869

Greatest Common Divisior

We found the divisors of 19, 689, 112, 869 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 19, 689, 112, 869 is 1.

Therefore, GCD of numbers 19, 689, 112, 869 is 1

Given Input Data is 19, 689, 112, 869

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 19 is 19

Prime Factorization of 689 is 13 x 53

Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7

Prime Factorization of 869 is 11 x 79

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(19, 689) = 13091

GCD(19, 689) = ( 19 x 689 ) / 13091

GCD(19, 689) = 13091 / 13091

GCD(19, 689) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 112

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 112) = 112

GCD(1, 112) = ( 1 x 112 ) / 112

GCD(1, 112) = 112 / 112

GCD(1, 112) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 869

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 869) = 869

GCD(1, 869) = ( 1 x 869 ) / 869

GCD(1, 869) = 869 / 869

GCD(1, 869) = 1

GCD of 19, 689, 112, 869 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 51, 930, 897, 500
• GCD of 87, 307, 689, 840
• GCD of 89, 297, 112, 499
• GCD of 20, 706, 614, 855
• GCD of 64, 752, 920, 607

1. What is the GCD of 19, 689, 112, 869?

GCD of 19, 689, 112, 869 is 1

2. Where do I get the detailed procedure to find GCD of 19, 689, 112, 869?

You can find a detailed procedure to find GCD of 19, 689, 112, 869 on our page.

3. How to find GCD of 19, 689, 112, 869 on a calculator?

You can find the GCD of 19, 689, 112, 869 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.